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Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

It is shown that the quantum Hamiltonian characterising a non-relativistic electron under the influence of an external spherical symmetric electromagnetic potential exhibits a supersymmetric structure. Both cases, spherical symmetric scalar…

Mathematical Physics · Physics 2025-05-21 Georg Junker

We use the Dirac equation to study the mass spectrum of mesons with heavy-light quark combinations. First we study the Dirac equation with spherically symmetry and funnel potential, and apply them on the hydrogen-like atom problem to check…

High Energy Physics - Phenomenology · Physics 2011-11-24 B. Pan

We calculate the next-to-leading order contribution to the masses of the heavy baryons in the bound state approach for baryons containing a heavy quark. These $1/N_C$ corrections arise when states of good spin and isospin are generated from…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Harada , A. Qamar , F. Sannino , J. Schechter , H. Weigel

We study two- and three-meson systems composed either of pions or kaons at maximal isospin using Monte Carlo simulations of lattice QCD. Utilizing the stochastic LapH method, we are able to determine hundreds of two- and three-particle…

High Energy Physics - Lattice · Physics 2021-10-14 Tyler D. Blanton , Andrew D. Hanlon , Ben Hörz , Colin Morningstar , Fernando Romero-López , Stephen R. Sharpe

In the framework of the quasipotential method in quantum electrodynamics we calculate the contribution of pseudoscalar mesons to the interaction operator of a muon and a proton in muonic hydrogen atom. The parametrization of the transition…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , R. N. Faustov

This is the third paper on hadronic light front wave functions (LFWFs). We derive a light front Hamiltonian from first principles using the key features of the QCD vacuum at low resolution. In the first approximation, it gives transverse…

High Energy Physics - Phenomenology · Physics 2022-08-11 Edward Shuryak , Ismail Zahed

Hyperfine interactions in the light meson and baryon sectors are generalized to the charm and bottom systems. It is pointed out that an attempt to increase the value of the wave function at the origin to account for the unusual ratio of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Harry J. Lipkin , Patrick J. O'Donnell

In this paper we visited mass spectra and decay constants of pseudoscalar and vector heavy-light mesons ($B$, $B_s$, $D$ and $D_S$) in the framework of QCD sum rule and quark model. The harmonic oscillator wave function was used in quark…

High Energy Physics - Phenomenology · Physics 2018-11-20 Halil Mutuk

The claimed finding of a light Higgs boson makes the minimal Standard Model unitary. Yet we recall that the general low-energy dynamics for the minimal electroweak symmetry breaking sector with three Goldstone bosons and one light scalar is…

High Energy Physics - Phenomenology · Physics 2014-01-21 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

The challenges with the molecular model of the multiquark systems are the identification of the hadronic molecules and the interaction between two color neutral hadrons. We study the di-hadronic molecular systems with proposed interaction…

High Energy Physics - Phenomenology · Physics 2021-02-08 D. P. Rathaud , Ajay Kumar Rai

The structure of an effective light-cone Hamiltonian as recently derived is analyzed with emphasis on its prediction for flavor mixing in physical mesons. In a (perhaps over-simplified) model with one adjustable parameter, the empirical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

We consider the Dirac quantization in the first class formalism to investigate the hypersphere soliton model (HSM) defined on the $S^{3}$ hypersphere. To do this, we construct the first class Hamiltonian possessing the Weyl ordering…

High Energy Physics - Phenomenology · Physics 2023-08-28 Soon-Tae Hong

We develop and test a spectral-density analysis method, based on the introduction of smeared energy kernels, to extract physical information from two-point correlation functions computed numerically in lattice field theory. We apply it to a…

The wave functions of a quantum isotropic harmonic oscillator in N-space modified by barriers at the coordinate hyperplanes can be expressed in terms of certain generalized spherical harmonics. These are associated with a product-type…

Classical Analysis and ODEs · Mathematics 2009-11-07 Charles F. Dunkl

Based on the study of the string model methods of singly heavy mesons and singly heavy baryons, we calculate the mass spectrum of $1S$-and $2S$-wave for both charm and bottom mesons$(D/D_{s}, B/B_{s})$. Experimentally, there are most masses…

High Energy Physics - Phenomenology · Physics 2023-06-06 Jisi Pan , Ji-Hai Pan

The spectra of the nucleons and the strange hyperons are well described by a harmonic confinement potential for the constituent quarks and an SU(3) flavor-symmetric interaction mediated by the pseudoscalar octet that is associated with the…

High Energy Physics - Phenomenology · Physics 2008-02-03 L. Ya. Glozman , D. O. Riska

We consider meson-baryon interactions in S-wave with strangeness -1. This is a sector populated by plenty of resonances interacting in several two-body coupled channels. We consider a large set of experimental data, where the recent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose A. Oller , Joaquim Prades , Michela Verbeni

The hyperspherical harmonic basis is used to describe bound states in an $A$--body system. The approach presented here is based on the representation of the potential energy in terms of hyperspherical harmonic functions. Using this…

Computational Physics · Physics 2009-05-13 M. Gattobigio , A. Kievsky , M. Viviani , P. Barletta

Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the symmetries of the Hamiltonian: permutations of…

Quantum Physics · Physics 2014-05-28 N. L. Harshman